Find the LCM of 985, 177, 944, 415 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 985, 177, 944, 415. So, keep reading to learn more.
Given numbers are 985,177,944,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,177,944,415 is 231530160.
Find LCM of 985,177,944,415 with Prime Factorization
5 | 985, 177, 944, 415 |
59 | 197, 177, 944, 83 |
197, 3, 16, 83 |
Multiply the prime numbers at the bottom and the left side.
5 x 59 x 197 x 3 x 16 x 83 = 231530160
Therefore, the lowest common multiple of 985,177,944,415 is 231530160.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
985 x 177 x 944 x 415 = 68301397200
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
985 : 1, 5, 197, 985
177 : 1, 3, 59, 177
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,177,944,415, is 1.
Now, the common factors can be found like this.
985:5x 197
177:3x 59
944:2x 2x 2x 2x 59
415:5x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 59 = 295
Therefore, the value for common factors is 295.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 68301397200/(1x295)
LCM = 68301397200/295
LCM = 231530160
Thus, we can understand that the LCM of 985,177,944,415 is 231530160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 985, 177, 944, 415?
Answer: LCM of 985, 177, 944, 415 is 231530160.
2. How to calculate the LCM of 985, 177, 944, 415?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 985, 177, 944, 415.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.